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Anna Marie Bergman; Andrew Kercher; Keith Gallagher; Rina Zazkis – Educational Studies in Mathematics, 2024
Definitions are an integral aspect of mathematics. In particular, they form the backbone of deductive reasoning and facilitate precision in mathematical communication. However, when multiple non-equivalent definitions for the same term exist, their ability to serve these purposes can be called into question. While ambiguity can be productive, the…
Descriptors: Definitions, Mathematics, Ambiguity (Semantics), Abstract Reasoning
Vahid Borji; Rafael Martínez-Planell; María Trigueros – Educational Studies in Mathematics, 2024
We use Action-Process-Object-Schema (APOS) theory to study students' geometric understanding of partial derivatives of functions of two variables. This study contributes to research on the teaching and learning of differential multivariable calculus and its didactics. This is an important area due to its multiple applications in science,…
Descriptors: Geometry, Geometric Concepts, Calculus, Mathematical Applications
Stijn Van Der Auwera; Bert De Smedt; Joke Torbeyns; Lieven Verschaffel – Educational Studies in Mathematics, 2024
This study is the first to examine the associations between the occurrence, frequency, and adaptivity of children's subtraction by addition strategy use (SBA; e.g., 712 - 346 = ?; 346 + 54 = 400, 400 + 300 = 700, 700 + 12 = 712, and 54 + 300 + 12 = 366) and their underlying conceptual knowledge. Specifically, we focused on two rarely studied…
Descriptors: Mathematics, Subtraction, Addition, Children
Francesco Beccuti; Paola Valero; Ornella Robutti – Educational Studies in Mathematics, 2024
Drawing on autobiographical essays written by master's students in mathematics preparing to become teachers, we investigate what mathematical identity these students articulate and how. By means of a discursive thematic analysis centered on the notion of ascesis, we show that the participants' identity revolves around a characterization of…
Descriptors: Graduate Students, Mathematics Education, Mathematics, Self Concept
Pessia Tsamir; Regina Ovodenko; Dina Tirosh – Educational Studies in Mathematics, 2024
This paper reports on students' conceptions of minima points. Written assignments and individual interviews uncovered salient, concept images, as well as erroneous "mis-out examples" that mistakenly regard examples as non-examples and "mis-in examples" that mistakenly grant non-examples the status of examples. We used Tall and…
Descriptors: Misconceptions, Error Patterns, Mathematical Concepts, Mathematics
Timothy H. Lehmann – Educational Studies in Mathematics, 2024
Developing students' competence in algorithmic thinking is emerging as an objective of mathematics education, but despite its inclusion in mathematics curricula around the world, research into students' algorithmic thinking seems to be falling behind in this curriculum reform. The aim of this study was to investigate how the mathematical modelling…
Descriptors: Mathematical Models, Algorithms, Thinking Skills, Mathematics Instruction
Angelika Kullberg; Camilla Björklund; Ulla Runesson Kempe – Educational Studies in Mathematics, 2024
The decomposition of numbers when solving subtraction tasks is regarded as more powerful than counting-based strategies. Still, many students fail to solve subtraction tasks despite using decomposition. To shed light upon this issue, we take a variation theoretical perspective (Marton, 2015) seeing learning as a function of discerning critical…
Descriptors: Subtraction, Number Concepts, Grade 2, Elementary School Students
Kirsten Brunner; Andreas Obersteiner; Timo Leuders – Educational Studies in Mathematics, 2024
Teachers' ability to accurately judge difficulties of mathematical tasks is an essential aspect of their diagnostic competencies. Although research has suggested that pedagogical content knowledge (PCK) is positively correlated with the accuracy of diagnostic judgments, experimental studies have not been conducted to investigate how PCK affects…
Descriptors: Eye Movements, Pedagogical Content Knowledge, Accuracy, Correlation
Yuhuan Zhang; Xiaohui Wu; Shuang Chen; Chengcheng Cui; Yahan He; Lidong Wang – Educational Studies in Mathematics, 2024
Supplementary private tutoring (PT) is commonly implemented worldwide, particularly among countries with highly competitive school systems and high-stakes examinations. Families often consider PT to promote their children's skills and address any gaps in children's learning. However, PT generally requires a considerable amount of family resources,…
Descriptors: Tutoring, Mathematics Achievement, Foreign Countries, Secondary School Mathematics
Nadav Marco; Alik Palatnik – Educational Studies in Mathematics, 2024
This study proposes a model of several dimensions through which products of teachers' context-based mathematics problem posing (PP) can be modified. The dimensions are Correctness, Authenticity, Task Assortment (consisting of Mathematical Diversity, Multiple Data Representations, Question-Answer Format, Precision-Approximation, and…
Descriptors: Models, Problem Solving, Mathematics Instruction, Faculty Development
Alain Kuzniak; Blandine Masselin – Educational Studies in Mathematics, 2024
This paper describes how the notion of the strongly didactic contract can serve to characterize the teaching adopted to implement a task in probability. It is particularly focused on the reality of mathematical work performed by students and teachers. For this research, classroom sessions were developed in an in-service teacher training course…
Descriptors: Mathematics, Learning Theories, Teaching Methods, Teacher Education
Anna Ida Säfström; Johan Lithner; Torulf Palm; Björn Palmberg; Johan Sidenvall; Catarina Andersson; Erika Boström; Carina Granberg – Educational Studies in Mathematics, 2024
It is well-known that a key to promoting students' mathematics learning is to provide opportunities for problem solving and reasoning, but also that maintaining such opportunities in student-teacher interaction is challenging for teachers. In particular, teachers need support for identifying students' specific difficulties, in order to select…
Descriptors: Elementary School Students, Secondary School Students, Mathematics Instruction, Problem Solving
Daniel Thurm; Shuhui Li; Bärbel Barzel; Lianghuo Fan; Na Li – Educational Studies in Mathematics, 2024
Facilitators, i.e., individuals who lead professional development (PD) programs, play a crucial role in providing high-quality PD to teachers, which is particularly relevant in the context of teaching mathematics with technology given the ubiquitous calls to exploit the potential of digital mathematical tools (DMT). However, quantitative research…
Descriptors: Facilitators (Individuals), Faculty Development, Cultural Differences, Beliefs
Kontorovich, Igor'; Ovadiya, Tikva – Educational Studies in Mathematics, 2023
Drawing on the commognitive framework, we construe the secondary-tertiary transition (STT) as a distinctive element in the pedagogical discourses of various communities. Our interest rests with university tutors in light of the emergent recognition of their impact on undergraduates' mathematics learning in many tertiary contexts worldwide. We aim…
Descriptors: Foreign Countries, College Freshmen, Tutors, Secondary Education
Geisler, Sebastian; Rolka, Katrin; Rach, Stefanie – Educational Studies in Mathematics, 2023
The transition from school to university mathematics is a challenging process for many students. This phenomenon is reflected by high dropout rates from mathematics programs especially during the first year at university that may be related to the development of students' mathematical interest and self-concept. Taking a learning psychological…
Descriptors: College Freshmen, Student Interests, Self Concept, College Mathematics